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Finding the Fourth Proportional to 243,090.20, 364,632.90 and 76,878.20

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Solution

The fourth proportional to 243,090.20, 364,632.90 and 76,878.20 is: 115,316.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,090.20 : 364,632.90 = 76,878.20 : x
  2. Step 2: Convert to fraction form
    243,090.20/364,632.90 = 76,878.20/x
  3. Step 3: Cross multiply
    243,090.20x = 364,632.90 × 76,878.20
  4. Step 4: Simplify right side
    243,090.20x = 28,032,321,012.78
  5. Step 5: Solve for x
    x = 28,032,321,012.78/243,090.20
  6. Step 6: Final answer
    x = 115,316.54

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.